Solve 4.95(26.25-16/20)*1

$$4.95 ( \frac { 26.25 - 16 } { 20 } ) \times 1$$

Evaluate

$$2.536875$$

Solution Steps

Subtract 16 from 26.25 to get 10.25.

$$4.95\times \frac{10.25}{20}\times 1$$

Expand \frac{10.25}{20} by multiplying both numerator and the denominator by 100.

$$4.95\times \frac{1025}{2000}\times 1$$

Reduce the fraction \frac{1025}{2000} to lowest terms by extracting and canceling out 25.

$$4.95\times \frac{41}{80}\times 1$$

Convert decimal number 4.95 to fraction \frac{495}{100}. Reduce the fraction \frac{495}{100} to lowest terms by extracting and canceling out 5.

$$\frac{99}{20}\times \frac{41}{80}\times 1$$

Multiply \frac{99}{20} times \frac{41}{80} by multiplying numerator times numerator and denominator times denominator.

$$\frac{99\times 41}{20\times 80}\times 1$$

Do the multiplications in the fraction \frac{99\times 41}{20\times 80}.

$$\frac{4059}{1600}\times 1$$

Multiply \frac{4059}{1600} and 1 to get \frac{4059}{1600}.

$$\frac{4059}{1600}$$

Factor

$$\frac{11 \cdot 41 \cdot 3 ^ {2}}{2 ^ {6} \cdot 5 ^ {2}} = 2\frac{859}{1600} = 2.536875$$